Evaluate this sum in terms of n (the number of terms):
1 2 4 8 16
S =  +  +  +  +  + .....
2 5 41 3,281 21,523,361
The numerators are powers of 2. The denominators are just large enough to prevent the total from reaching 1.
I don't know if in every instance there will be a denominator that would make the total exactly 1. If there is, then that would simplify finding the answer.

Posted by Charlie
on 20051221 12:17:26 